44022401104000 has 768 divisors, whose sum is σ = 122823773280000. Its totient is φ = 15561418752000.

The previous prime is 44022401103979. The next prime is 44022401104013. The reversal of 44022401104000 is 40110422044.

It is a super-2 number, since 2×44022401104000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77368015716 + ... + 77368016284.

It is an arithmetic number, because the mean of its divisors is an integer number (159926788125).

Almost surely, 2^{44022401104000} is an apocalyptic number.

44022401104000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44022401104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61411886640000).

44022401104000 is an abundant number, since it is smaller than the sum of its proper divisors (78801372176000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44022401104000 is a wasteful number, since it uses less digits than its factorization.

44022401104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 44022401104000 its reverse (40110422044), we get a palindrome (44062511526044).

The spelling of 44022401104000 in words is "forty-four trillion, twenty-two billion, four hundred one million, one hundred four thousand".